Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550da |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4741632 |
Modular degree for the optimal curve |
Δ |
-6.7824883790647E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8464776,9560941198] |
[a1,a2,a3,a4,a6] |
j |
-744673162316209/7529822040 |
j-invariant |
L |
1.9443940963255 |
L(r)(E,1)/r! |
Ω |
0.16203285533667 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19110bm1 95550bi1 |
Quadratic twists by: 5 -7 |